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Dynamical systems on measure spaces, invariant measures, ergodic averages, mixing properties.

1 vote

entropy preserving finitary factor maps of Bernoulli schemes

Let $G\subset X$ be the set of generic points for $\mu$, which is of measure 1. Since $p\neq1-p$, we have that for $G^*=\{x^*:x\in G\}$, $$G\cap G^*=\emptyset.$$ Now define $\psi$ as folllows: For $x\ …
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